Pith Number

pith:XVM5U5YB

pith:2018:XVM5U5YBLQD64WCE3CPEG2KXSC

not attested not anchored not stored refs pending

Derived completion for comodules

Drew Heard, Gabriel Valenzuela, Tobias Barthel

arxiv:1808.00895 v2 · 2018-08-01 · math.AT · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVM5U5YBLQD64WCE3CPEG2KXSC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:56:09.730972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd59da77015c07ee5844d89e43695790ae69c92b01078e4570d12d772f0110db

Aliases

arxiv: 1808.00895 · arxiv_version: 1808.00895v2 · doi: 10.48550/arxiv.1808.00895 · pith_short_12: XVM5U5YBLQD6 · pith_short_16: XVM5U5YBLQD64WCE · pith_short_8: XVM5U5YB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVM5U5YBLQD64WCE3CPEG2KXSC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bd59da77015c07ee5844d89e43695790ae69c92b01078e4570d12d772f0110db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a324dce6a26fc05832860a51368f1b6bbf1136346e9ec78e9df1320b0085f4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-01T09:01:11Z",
    "title_canon_sha256": "4e6207aa75958c3b30dd3cab8b218997f6fdd0e921ca67163ff23bd9c25aba24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00895",
    "kind": "arxiv",
    "version": 2
  }
}